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Finding the Fourth Proportional to 209.15, 313.57 and 188.34

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Solution

The fourth proportional to 209.15, 313.57 and 188.34 is: 282.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.15 : 313.57 = 188.34 : x
  2. Step 2: Convert to fraction form
    209.15/313.57 = 188.34/x
  3. Step 3: Cross multiply
    209.15x = 313.57 × 188.34
  4. Step 4: Simplify right side
    209.15x = 59,058.60
  5. Step 5: Solve for x
    x = 59,058.60/209.15
  6. Step 6: Final answer
    x = 282.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.